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Finding the Fourth Proportional to 306,999, 460,524.42 and 85,383

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Solution

The fourth proportional to 306,999, 460,524.42 and 85,383 is: 128,081.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,999 : 460,524.42 = 85,383 : x
  2. Step 2: Convert to fraction form
    306,999/460,524.42 = 85,383/x
  3. Step 3: Cross multiply
    306,999x = 460,524.42 × 85,383
  4. Step 4: Simplify right side
    306,999x = 39,320,956,552.86
  5. Step 5: Solve for x
    x = 39,320,956,552.86/306,999
  6. Step 6: Final answer
    x = 128,081.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.